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SUMMARY:Categorical Torelli for cyclic covers - Hannah Dell\, University o
 f Bonn
DTSTART:20250219T141500Z
DTEND:20250219T151500Z
UID:TALK228625@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Since any Fano variety can be recovered from its derived\ncate
 gory up to isomorphism\, we ask whether less information determines\nthe v
 ariety - this is called a categorical Torelli question. In this\ntalk\, we
  consider an n-fold cover X → Y ramified in a divisor Z. The\ncyclic gro
 up of order n acts on X. We study how a certain subcategory of\nDb(X) (the
  Kuznetsov component) behaves under this group action. We\ncombine this wi
 th techniques from topological K-theory and Hodge theory\nto prove that th
 is subcategory determines X for two new classes of Fano\nthreefolds which 
 arise as double covers of (weighted) projective spaces.\nThis is joint wor
 k with Augustinas Jacovskis and Franco Rota\n(arXiv:2310.13651).
LOCATION:CMS MR13
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